Study & Grades
Convert marks into a percentage
Enter the marks obtained and the total available marks to calculate the percentage and supporting score details.
Marks percentage
Calculation used
Rounding note
This tool converts one raw score into a percentage. It does not calculate required future marks, weighted course grades, letter grades or examination rules.
Calculate marks from multiple subjects
Enter earned and maximum marks for each included subject or paper. A 100-mark paper contributes twice as much to the combined total as a 50-mark paper. If your course assigns separate percentage weights, use the Weighted Grade Calculator.
Your combined marks
Overall percentage = sum of earned marks ÷ sum of maximum marks × 100. Display values are rounded to four percentage decimals and six marks decimals. All included marks have equal weight; subject percentages are not averaged. This does not apply a board’s best-subject, pass or grade rules.
How the Marks Percentage Calculator Converts Marks to a Percentage
The Marks Percentage Calculator converts an existing raw score into the percentage of available marks that was earned.It can be used for a test, assignment, examination, course component, or a correctly combined raw-marks record when the obtained marks and total marks use the same scoring scale.The formula is:Percentage = Marks obtained ÷ Total marks × 100For 42 marks obtained from a test worth 60 marks:42 ÷ 60 × 100 = 70%The order of the inputs matters. Dividing total marks by marks obtained does not calculate the score percentage.This calculation describes a score that already exists. If you instead need to determine how many marks are still required from unfinished work, use the Required Marks Calculator.Understand the Complete Percentage Result
For a score of 42 out of 60, the calculator can show several related values:| Output | Result |
|---|---|
| Percentage earned | 70% |
| Marks not obtained | 18 |
| Score fraction | 42/60 |
| Simplified ratio | 7:10 |
| Percentage lost | 30% |
| Percentage-point value of one mark | 1.6667 points |
Marks Not Obtained
Marks not obtained = Total marks − Marks obtainedFor the example:60 − 42 = 18 marksScore Fraction
The original score can be written directly as:42/60This preserves the actual obtained and maximum marks before percentage conversion.Simplified Ratio
The ratio is reduced by dividing both values by their greatest common divisor.For 42 and 60, the greatest common divisor is 6:42 ÷ 6 = 760 ÷ 6 = 10Therefore:42:60 = 7:10Decimal scores can also represent proportional ratios.For example:18.5 out of 25 = 37:50Percentage Lost
Percentage lost is:100% − Percentage earnedFor a 70% score:100% − 70% = 30%This shows the percentage of available marks that was not earned.It does not by itself reveal the number of incorrect answers because a score can also reflect partial credit, questions with different mark values, or deductions.Display Precision Does Not Change the Score
Some marks produce percentages with repeating decimal values.For:37 out of 48the exact percentage begins:37 ÷ 48 × 100 = 77.083333…%Changing the display precision changes only how many decimal places are shown.| Decimal places | Displayed percentage |
|---|---|
| 0 | 77% |
| 1 | 77.1% |
| 2 | 77.08% |
| 3 | 77.083% |
| 4 | 77.0833% |
Calculator Rounding vs Official Rounding
At zero decimal places, ordinary rounding may display:77%for an underlying score such as:77.083333…%An institution may instead retain additional decimals, truncate percentages, or use another official rounding method.Changing the calculator’s display precision does not change the underlying raw score and should not be treated as a replacement for an official grading rule.Equivalent Percentages Can Come From Different Mark Scales
Different raw scores can represent the same percentage when their fractions are proportional.For example:- 14 out of 20 = 70%
- 35 out of 50 = 70%
- 70 out of 100 = 70%
Why One Mark Is Worth a Different Percentage on Different Tests
The percentage-point value of one raw mark depends on the total maximum marks:Percentage-point value of one mark = 100 ÷ Total marks| Total marks | Value of one mark |
|---|---|
| 20 | 5 percentage points |
| 40 | 2.5 percentage points |
| 50 | 2 percentage points |
| 100 | 1 percentage point |
| 200 | 0.5 percentage points |
| 500 | 0.2 percentage points |
Combine Raw Marks by Adding Marks and Maximums
Several assessments can be combined when every raw mark contributes equally to one overall raw-score total.Suppose:| Component | Marks earned | Maximum marks |
|---|---|---|
| Test 1 | 18 | 25 |
| Test 2 | 32 | 40 |
| Assignment | 27 | 35 |
Why a Simple Average of the Component Percentages Can Be Wrong
The individual percentages are:- Test 1: 72%
- Test 2: 80%
- Assignment: 77.14%
Do Not Combine Raw Marks When the Course Uses Weights
A weighted course structure follows different mathematics.Suppose:- assignments contribute 20%;
- midterm contributes 30%;
- final examination contributes 50%.
Valid Marks and Important Edge Cases
Marks obtained and total marks must refer to the same assessment or correctly combined raw-score record.A valid entry should satisfy these conditions:- total marks are greater than zero;
- marks obtained are zero or greater;
- marks obtained do not exceed total marks;
- both values use the same scoring scale;
- decimal marks are entered only when the marking system permits them.
Common Boundary Results
| Record | Result |
|---|---|
| 0 out of 50 | 0% |
| 50 out of 50 | 100% |
| 18.5 out of 25 | 74% |
| Any score out of 0 | Undefined |
Total Marks of Zero
A percentage cannot be calculated when total marks equal zero because the formula would require division by zero.Scores Above the Published Maximum
The standard calculator prevents obtained marks from exceeding total marks.Some grading systems may allow bonus or extra-credit marks that produce a recorded score above the ordinary maximum.In those cases, follow the institution’s actual method because the result may be capped, adjusted, or displayed above 100% depending on the applicable rules.A Marks Percentage Does Not Automatically Determine a Grade
A raw percentage tells you what share of the available marks was earned.It does not automatically determine:- letter grade;
- GPA;
- pass or fail status;
- weighted final grade;
- whether component minimums were satisfied;
- official rounding or truncation.